• 제목/요약/키워드: Combined Solving Method

검색결과 132건 처리시간 0.028초

Nodeless Variables Finite Element Method and Adaptive Meshing Teghnique for Viscous Flow Analysis

  • Paweenawat Archawa;Dechaumphai Pramote
    • Journal of Mechanical Science and Technology
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    • 제20권10호
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    • pp.1730-1740
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    • 2006
  • A nodeless variables finite element method for analysis of two-dimensional, steady-state viscous incompressible flow is presented. The finite element equations are derived from the governing Navier-Stokes differential equations and a corresponding computer program is developed. The proposed method is evaluated by solving the examples of the lubricant flow in journal bearing and the flow in the lid-driven cavity. An adaptive meshing technique is incorporated to improve the solution accuracy and, at the same time, to reduce the analysis computational time. The efficiency of the combined adaptive meshing technique and the nodeless variables finite element method is illustrated by using the example of the flow past two fences in a channel.

유한요소-전달행렬법에 의한 스크롤 압축기 크랭크축의 과도 동적 해석 (Transient Dynamic Analysis of Scroll Compressor Crankshaft Using Finite Element-Transfer Matrix Method)

  • 김태종
    • 소음진동
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    • 제10권1호
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    • pp.97-106
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    • 2000
  • The dynamic behavior of crankshaft-bearing system in scroll compressor has been investigated using the combined methodologies of finite elements and transfer matrices. The finite element formulation is proposed including the field element for a shaft section and the point element at balancer weight locations, bearing locations, etc., whereas the conventional method is used with the elements. The Houbolt method is used to consider the time march for the integration of the system equations. The linear stiffness and damping coefficients are calculated for a finite cylindrical fluid-film bearing by solving the Reynolds equation, using finite difference method. The orbital response of crankshaft supported on the linear bearing model is obtained, considering balancer weights of motor rotor. And, the steady state displacement of crankshaft are compared with a variation in balancer weight. The loci of crankshaft at bearing locations are composed of the synchronous whirl component and the non-synchronous whirl component.

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한의학의 발전 방향 검토 (The Review of the Direction of Improvement of Oriental Medicine)

  • 신길조
    • 대한중풍순환신경학회지
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    • 제18권1호
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    • pp.1-11
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    • 2017
  • It is difficult to combine oriental and western medicine. Each medicine has a different academic background, perspective on the world, and studying methodology. The claim that two paradigms can not be combined is not obtained from an actual verification, but this means it is so hard to combine two medicines having different backgrounds. The amalgamation of oriental and western medicine should be phased in on the basis of the continuous reciprocal understanding and commitment. First, the strength and weakness of each medicine over the treatment and research are required to be identified. Then, a few complementary areas can be chosen enabling a trial of fusion on a small scale. A cycle of problem solving and a new research can be set by analyzing research results obtained through the implementation over a period of time. In other words, the researchers of oriental and western medicine should repeat a continuous and gradual complementary research process by identifying issues to be improved and complemented through a consensus. Once the methodology obtained through the process of problem solving and proficient implementation is established in a stable condition, a method to widen the fusion area by expanding the operating area and implementation method can be chosen. However, the integral system of oriental medicine shouldn't be substituted by mechanical idea or reductionism. What should be done primarily for oriental medicine is to objectify things through quantification. In particular, the oriental treatment should accept the microscopic diagnosis to determine the structure and observe the biochemical change.

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크리깅 메타모델에 의한 철도차량 현수장치 최적설계 (Optimization of a Train Suspension using Kriging Meta-model)

  • 이광기;이태희;박찬경
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집C
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    • pp.339-344
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    • 2001
  • In recent engineering, the designer has become more and more dependent on the computer simulations such as FEM (Finite Element Method) and BEM (Boundary Element Method). In order to optimize such implicit models more efficiently and reliably, the meta-modeling technique has been developed for solving such a complex problems combined with the DACE (Design and Analysis of Computer Experiments). It is widely used for exploring the engineer's design space and for building meta-models in order to facilitate an effective solution of multi-objective and multi-disciplinary optimization problems. Optimization of a train suspension is performed according to the minimization of forty-six responses that represent ten ride comforts, twelve derailment quotients, twelve unloading ratios, and twelve stabilities by using the Kriging meta-model of a train suspension. After each Kriging meta-model is constructed, multi-objective optimal solutions are achieved by using a nonlinear programming method called SQP (Sequential Quadratic Programming).

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Hybrid Priority-based Genetic Algorithm for Multi-stage Reverse Logistics Network

  • Lee, Jeong-Eun;Gen, Mitsuo;Rhee, Kyong-Gu
    • Industrial Engineering and Management Systems
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    • 제8권1호
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    • pp.14-21
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    • 2009
  • We formulate a mathematical model of remanufacturing system as multi-stage reverse Logistics Network Problem (mrLNP) with minimizing the total costs for reverse logistics shipping cost and inventory holding cost at disassembly centers and processing centers over finite planning horizons. For solving this problem, in the 1st and the 2nd stages, we propose a Genetic Algorithm (GA) with priority-based encoding method combined with a new crossover operator called as Weight Mapping Crossover (WMX). A heuristic approach is applied in the 3rd stage where parts are transported from some processing centers to one manufacturer. Computer simulations show the effectiveness and efficiency of our approach. In numerical experiments, the results of the proposed method are better than pnGA (Prufer number-based GA).

Finding Optimal Controls for Helicopter Maneuvers Using the Direct Multiple-Shooting Method

  • Kim, Min-Jae;Hong, Ji-Seung;Kim, Chang-Joo
    • International Journal of Aeronautical and Space Sciences
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    • 제11권1호
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    • pp.10-18
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    • 2010
  • The purpose of this paper deals with direct multiple-shooting method (DMS) to resolve helicopter maneuver problems of helicopters. The maneuver problem is transformed into nonlinear problems and solved DMS technique. The DMS method is easy in handling constraints and it has large convergence radius compared to other strategies. When parameterized with piecewise constant controls, the problems become most effectively tractable because the search direction is easily estimated by solving the structured Karush-Kuhn-Tucker (KKT) system. However, generally the computation of function, gradients and Hessian matrices has considerably time-consuming for complex system such as helicopter. This study focused on the approximation of the KKT system using the matrix exponential and its integrals. The propose method is validated by solving optimal control problems for the linear system where the KKT system is exactly expressed with the matrix exponential and its integrals. The trajectory tracking problem of various maneuvers like bob up, sidestep near hovering flight speed and hurdle hop, slalom, transient turn, acceleration and deceleration are analyzed to investigate the effects of algorithmic details. The results show the matrix exponential approach to compute gradients and the Hessian matrix is most efficient among the implemented methods when combined with the mixed time integration method for the system dynamics. The analyses with the proposed method show good convergence and capability of tracking the prescribed trajectory. Therefore, it can be used to solve critical areas of helicopter flight dynamic problems.

주조공정에서의 효율적인 열응력 해석을 위한 이종해석기법의 연계 (Combination of Different Numerical Methods for Efficient Thermal Stress Analysis of Casting Process)

  • 곽시영;임채호
    • 대한기계학회논문집A
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    • 제34권8호
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    • pp.1051-1057
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    • 2010
  • 본 논문에서 유한차분법(FDM)과 유한요소법(FEM)을 연계하여 주조공정 해석을 수행하는 이종해석기법을 제안하였다. 수치해석기법으로는 FDM, FEM, BEM 등 다양한 기법이 있으며, 대부분의 공학문제는 각각의 현상에 적합한 수치해석기법을 사용하여 해석을 수행하고 있다. 일반적으로, FDM 또는 FVM 은 유동 및 열전달 해석에, FEM 은 열응력 해석에 많이 적용되고 있지만 복합적인 공학 문제를 해결하기 위해서 각각 수치해석기법을 연동한 해석의 필요성이 점점 증가하고 있다. 따라서, 본 논문에서는 3 차원 공간에서 FDM 을 사용하여 응고 및 열 전달 해석을 수행하고, 계산된 온도 데이터를 FEM 해석장에 적합하게 변환하여 열응력 해석을 수행하는 FDM/FEM연계해석 방법을 제시하였다. 그리고 제시한 해석방법을 주조 공정 해석에 적용한 결과, 요소생성 등의 해석작업과 해석속도 면에서 효율적으로 해석을 수행할 수 있었다.

A dissipative family of eigen-based integration methods for nonlinear dynamic analysis

  • Chang, Shuenn-Yih
    • Structural Engineering and Mechanics
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    • 제75권5호
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    • pp.541-557
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    • 2020
  • A novel family of controllable, dissipative structure-dependent integration methods is derived from an eigen-based theory, where the concept of the eigenmode can give a solid theoretical basis for the feasibility of this type of integration methods. In fact, the concepts of eigen-decomposition and modal superposition are involved in solving a multiple degree of freedom system. The total solution of a coupled equation of motion consists of each modal solution of the uncoupled equation of motion. Hence, an eigen-dependent integration method is proposed to solve each modal equation of motion and an approximate solution can be yielded via modal superposition with only the first few modes of interest for inertial problems. All the eigen-dependent integration methods combine to form a structure-dependent integration method. Some key assumptions and new techniques are combined to successfully develop this family of integration methods. In addition, this family of integration methods can be either explicitly or implicitly implemented. Except for stability property, both explicit and implicit implementations have almost the same numerical properties. An explicit implementation is more computationally efficient than for an implicit implementation since it can combine unconditional stability and explicit formulation simultaneously. As a result, an explicit implementation is preferred over an implicit implementation. This family of integration methods can have the same numerical properties as those of the WBZ-α method for linear elastic systems. Besides, its stability and accuracy performance for solving nonlinear systems is also almost the same as those of the WBZ-α method. It is evident from numerical experiments that an explicit implementation of this family of integration methods can save many computational efforts when compared to conventional implicit methods, such as the WBZ-α method.

퍼지 관계방정식의 해법을 위한 신경회로망 모델과 학습 방법 (A Neural Network Model and Its Learning Algorithm for Solving Fuzzy Relational Equations)

  • 전명근
    • 전자공학회논문지B
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    • 제30B권10호
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    • pp.77-85
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    • 1993
  • In this paper, we present a method to solve a convexly combined fuzzy relational equation with generalized connectives. For this, we propose a neural network whose structure represents the fuzzy relational equation. Then we derive a learning algorithm by using the concept of back-propagation learning. Since the proposed method can be used for a general form of fuzzy relational equations, such fuzzy max-min or min-max relational equations can be treated as its special cases. Moreover, the relational structure adopted in the proposed neurocomputational approach can work in a highly parallel manner so that real-time applications of fuzzy sets are possibles as in fuzzy logic controllers, knowledge-based systems, and pattern recognition systems.

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통행배정과 신호제어 결합문제를 풀기위한 새로운 해법 개발에 관한 연구 (A Simulated Annealing Method for Solving Combined Traffic Assignment and Signal Control Problem)

  • 이승재
    • 대한교통학회지
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    • 제16권1호
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    • pp.151-164
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    • 1998
  • 본 논문은 통행배정과 교통신호제어기의 결합문제를 풀기 위한 새로운 해법의 제시를 목적으로 한다. 통행배정과 신호제어 결합모형은 네트웍 디자인 문제(Network Design Problem)로 비선형 비분리 목적함수(Nonlinear and Nonseparable Objective Function)와 비선형제약 및 비컴백스 집합(Nonlinear and Non-Convex Set)형태로 인해 다수의 국지해(Multiple Local Optima)를 갖는 특징이 있다. 따라서 이렇게 복잡하고 난해한 문제를 푸는 해법은 많은 국지해중에 가장 최소한 값(Global Optima)을 찾을수 있는 방법을 제공하여야한다. 전체최적해(Global Optima)를 찾 을 수 있는 기존의 방법들은 확률적최적화방법(Stochastic Optimization Methods)에 속한다. 본연구에서는 이러한 방법중 금속공학에서 발 견된 모의담금빌법(Simulated Annealing Method)에 근거한 해법을 제시한다. 이방법이 통행배정과 신호제어 결합문제에 적용되는지 검토하기 위해 이해법의 수렴성(Convergence)을 증명했으며 또한 실제 프로그램된 모형을 작은 고안된 네트워크에 적 용했다. 마지막으로는 개발된 해법의 실용성을 실험하기 위해 두 가지의 보다 큰 도로망에 적용 및 분석을 했다.

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